GCD of 641, 126, 693, 306 Calculator

Given Input numbers are 641, 126, 693, 306

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 641, 126, 693, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 641, 126, 693, 306 is 1.

Therefore, GCD of numbers 641, 126, 693, 306 is 1

Given Input Data is 641, 126, 693, 306

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 641 is 641

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 306 is 2 x 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(641, 126) = 80766

GCD(641, 126) = ( 641 x 126 ) / 80766

GCD(641, 126) = 80766 / 80766

GCD(641, 126) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 641, 126, 693, 306 is 1

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1. What is the GCD of 641, 126, 693, 306?

GCD of 641, 126, 693, 306 is 1

2. Where do I get the detailed procedure to find GCD of 641, 126, 693, 306?

You can find a detailed procedure to find GCD of 641, 126, 693, 306 on our page.

3. How to find GCD of 641, 126, 693, 306 on a calculator?

You can find the GCD of 641, 126, 693, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.